What is the Least Common Multiple of 84500 and 84511?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 84500 and 84511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84500 and 84511, than apply into the LCM equation.

GCF(84500,84511) = 1
LCM(84500,84511) = ( 84500 × 84511) / 1
LCM(84500,84511) = 7141179500 / 1
LCM(84500,84511) = 7141179500

Least Common Multiple (LCM) of 84500 and 84511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84500 and 84511. First we will calculate the prime factors of 84500 and 84511.

Prime Factorization of 84500

Prime Factorization of 84511

Now multiplying the highest exponent prime factors to calculate the LCM of 84500 and 84511.

LCM(84500,84511) = 2² × 5³ × 13² × 7¹ × 12073¹
LCM(84500,84511) = 7141179500